Negotiations between the White House and congressional leaders on keeping the government funded the remainder of the 2011 fiscal year continue to inch along, with only four days now standing between Washington and a potential federal shutdown.

On top of that, Tuesday – the day that any funding measure would have to be introduced in the House in order to clear the Senate by the deadline Friday -- also happens to mark the much-anticipated arrival of House Republicans’ budget for the next fiscal year, previewed on Sunday by House Budget Committee Chairman Paul Ryan (R-Wis.). The ramping-up of next year’s budget fight may ease some of the pressure on leaders in the current battle – or it may not.

Congress this week may also see the first repeal of a health care reform provision, Sens. Rand Paul (R-Ky.) and Mike Lee (R-Utah) are staging a showdown on Libya, and actors Alec Baldwin and Kevin Spacey visit the Hill. Here’s a closer look at the week ahead:

Monday

The House is in at noon. A suspension vote on a bill sponsored by Rep. Allen West (R-Fla.) that would cut the Defense Department’s printing budget by 10 percent is expected at 6:30 p.m. The Senate is in at 2 p.m. A vote on the nomination of a circuit court judge is expected at 5:30 p.m.

5:30 p.m.: The American Enterprise Institute holds an event on “The State of White America,” examining the economic status of America’s non-Latino white population from 1960 to 2010.

6:30 p.m.: Rep. John Lewis (D-Ga.), Assistant Attorney General for Civil Rights Thomas Perez and others participate in the Anti-Defamation League’s national leadership conference at the Mayflower Hotel.

The House is in session at 10 a.m. Two bills are on the agenda: one is a measure that would prevent the Environmental Protection Agency from regulating greenhouse gas emissions under the Clean Air Act; the other is Walden’s measure disapproving of the Federal Communications Commission’s net neutrality rules.

The Senate is also in session. Votes are expected on a measure that would repeal the unpopular 1099 tax-reporting provision of the national health care overhaul. After voting on 1099 repeal, the Senate is expected to proceed to consideration of more amendments to a small business bill, which Sens. Rand Paul (R-Ky.) and Mike Lee (R-Utah) have threatened to oppose until Paul’s Libya resolution is considered.

Also on Tuesday, House Budget Committee Chairman Paul Ryan (R-Wis.) is set to unveil his proposed fiscal year 2012 budget.

And Tuesday evening is the latest time by which a government funding resolution can be introduced in the House if a government shutdown is to be averted, in accordance with House Republicans’ new rules for this Congress requiring all legislation to be posted online for 72 hours before being put up for a vote.

10 a.m.: David Beamer, father of United 93 passenger Todd Beamer, and others testify at a House Judiciary subcommittee hearing on “Justice for America: Using Military Commissions to Try the 9/11 Conspirators.”

Noon: House Budget Committee Chairman Paul Ryan (R-Wis.) delivers an address at the American Enterprise Institute on “The Case for Real Security and a Path to Prosperity.”

Noon: The Senate Budget Committee meets to vote on the nomination of Heather Higginbottom to be deputy director of the Office of Management and Budget.

2 p.m.: U.S. Trade Representative Ron Kirk testifies at a House Appropriations subcommittee hearing on the USTR’s fiscal year 2012 budget.

2 p.m.: A House Foreign Affairs subcommittee holds a hearing on “Assessing U.S. Foreign Policy Priorities and Needs Amidst Economic Challenges in South Asia.”

2:30 p.m.: The Senate Foreign Relations Committee holds a hearing on the nomination of Scott Gration to be ambassador to the Republic of Kenya and Michelle Gavin to be ambassador to the Republic of Botswana.

6:30 p.m.: Japanese Ambassador to the U.S. Ichiro Fujisaki and others attend a SAIS forum on “Japan’s Earthquake and Tsunami: Dimensions of the Disaster and Future Prospects.”

Wednesday

The House is in session at 10 a.m. to continue consideration of the greenhouse gas emissions and net neutrality bills. The Senate is also in session.

Committee hearings/other events:

9 a.m.: A House Energy and Commerce subcommittee holds a hearing on “The U.S. Government Response to the Nuclear Power Plant Incident in Japan.”

9 a.m.: Federal Bureau of Investigation Director Robert Mueller III testifies at a House Appropriations subcommittee hearing on the FBI’s fiscal year 2012 budget.

9:30 a.m.: Sen. Lindsey Graham (R-S.C.) discusses “American Foreign Policy: A View from the Senate” in a speech to the Nitze School of Advanced International Studies.

1:30 p.m.: A House Oversight and Government Reform subcommittee holds a hearing on “Assessing the Impact of Greenhouse Gas Regulations on Business.”

2:30 p.m.: The Senate Foreign Relations Committee holds a hearing on the nominations of Kurt Walter Tong to be U.S. senior official for the Asia-Pacific Economic Cooperation Forum and David Shear to be ambassador to Vietnam.

9:30 a.m.: Army Gen. Carter Ham, commander of U.S. Africa Command, and Air Force Gen. Duncan McNabb, commander of the U.S. Transportation Command, testify at a Senate Armed Services hearing on the defense budget.

10 a.m.: The Senate Judiciary Committee meets to mark up several bills and to vote on the nominations of judicial nominees including Goodwin Liu.

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